Question

Kamala divided her investment of Rs 100000 between stocks, bonds, and gold. Her investment in bonds was 25% of her investment in gold. With annual returns of 10%, 6%, 8% on stocks, bonds, and gold, respectively, she gained a total amount of Rs 8200 in one year. The amount, in rupees, that she gained from the bonds, was:

Hint:

When a mixture investment problem involves fixed returns and proportional allocations, reduce variables using the percentage relationships first. This simplifies the system into a single solvable equation.

Answer 1

Correct Answer: 900

Step 1: Let bonds \(=B\), so gold \(=4B\) (since bonds is 25% of gold) and stocks \(=100000-5B\).
Step 2: Total gain: \(0.10(100000-5B)+0.06B+0.08(4B)=8200\), which simplifies to \(10000-0.12B=8200\).
Step 3: Solve for B, then find the gain from bonds.
\[ B=\frac{1800}{0.12}=15000, \qquad \text{gain}=0.06\times15000 \]
\[ \boxed{\text{Rs } 900} \]